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4-particle Amplituhedron at 3-loop and its Mondrian Diagrammatic Implication

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Rao,  Junjie
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1712.09990.pdf
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Citation

Rao, J. (2018). 4-particle Amplituhedron at 3-loop and its Mondrian Diagrammatic Implication. Journal of high energy physics: JHEP, 2018(06): 038. doi:10.1007/JHEP06(2018)038.


Cite as: https://hdl.handle.net/21.11116/0000-0000-BA7C-4
Abstract
This article provides a direct calculation of the 4-particle amplituhedron at 3-loop level, by introducing a set of practical tricks. After delicately rearranging each piece by this calculation, we find a suggestive connection between positivity conditions and Mondrian diagrams, which will be quantitatively defined. Such a pattern can be generalized for all Mondrian diagrams among all those contribute to the 4-particle integrand of planar N=4 SYM to all loop orders, as a subsequent work will show.